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Two-Element Generation of the Symplectic Group

✍ Scribed by Peter Stanek


Book ID
125674057
Publisher
American Mathematical Society
Year
1963
Tongue
English
Weight
498 KB
Volume
108
Category
Article
ISSN
0002-9947

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Two-Element Generation of the Integral S
✍ Hiroyuki Ishibashi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 160 KB

Let Sp β€«ήšβ€¬ be the symplectic group on a hyperbolic module V of even rank n n Ε½ . over the rational integers ‫.ήšβ€¬ If n ) 2 then any element of Sp β€«ήšβ€¬ is a product of n Ε½ . finite number of involutions on V, and Sp β€«ήšβ€¬ is generated by two elements of n small order, one of which is an involution.